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Finding the Third Proportional to 164,490.75 and 341,904.38

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Solution

The third proportional to 164,490.75 and 341,904.38 is: 710,669.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,490.75 : 341,904.38 = 341,904.38 : x
  2. Step 2: Convert to fraction form
    164,490.75/341,904.38 = 341,904.38/x
  3. Step 3: Cross multiply
    164,490.75x = 341,904.38 × 341,904.38
  4. Step 4: Simplify right side
    164,490.75x = 116,898,601,644.14
  5. Step 5: Solve for x
    x = 116,898,601,644.14/164,490.75
  6. Step 6: Final answer
    x = 710,669.76

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.